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In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic coefficients of finite logarithmic order. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.
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참고문헌 (15)
참고문헌 신청
B. Belaidi / 2015 / Growth of meromorphic solutions of _nite logarithmic order of linear di_erence equations / Fasc. Math 54:5~20
Nityagopal Biswas / 2019 / On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher order / 대한수학회논문집 34(4):1245~1259
T. Y. P. Chern / 1999 / On the maximum modulus and the zeros of an transcendental entire function of _nite logarithmic order / Bull. Hong Kong Math. Soc 2:271~278
T. Y. P. Chern / 2006 / On meromorphic functions with _nite logarithmic order / Trans. Am. Math. Soc 358(2):473~489
Y. M. Chiang / 2008 / On the Nevanlinna characteristic of f(z + _)and di_erence equations in the complex plane / Ramanujan J 16(1):105~129
Nityagopal Biswas / 2019 / On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher order / 대한수학회논문집 34(4):1245~1259
T. Y. P. Chern / 1999 / On the maximum modulus and the zeros of an transcendental entire function of _nite logarithmic order / Bull. Hong Kong Math. Soc 2:271~278
T. Y. P. Chern / 2006 / On meromorphic functions with _nite logarithmic order / Trans. Am. Math. Soc 358(2):473~489
Y. M. Chiang / 2008 / On the Nevanlinna characteristic of f(z + _)and di_erence equations in the complex plane / Ramanujan J 16(1):105~129
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